Finding the Third Proportional to 33,352 and 78,728

Step by Step Solution

1. Step 1: Write the proportion equation
   33,352 : 78,728 = 78,728 : x
2. Step 2: Convert to fraction form
   33,352/78,728 = 78,728/x
3. Step 3: Cross multiply
   33,352x = 78,728 × 78,728
4. Step 4: Simplify right side
   33,352x = 6,198,097,984
5. Step 5: Solve for x
   x = 6,198,097,984/33,352
6. Step 6: Final answer
   x = 185,838.87